Skip to main content
Log in

Fully Actuated System Approach for Input-saturated Nonlinear System Based on Anti-windup Control

  • Published:
Circuits, Systems, and Signal Processing Aims and scope Submit manuscript

Abstract

This paper studies a class of input-saturated nonlinear systems with Lipschitz condition. We combine the fully actuated system approach with anti-windup control to design control system. The proposed control method has the advantages of both fully actuated system approach and anti-windup control. The main advantages are: (1) establishing a fully actuated system approach control framework based on anti-windup control. The controller of the nonlinear system can be written out immediately when a fully actuated system (FAS) model or a group of FAS models of the system is derived, simplifying the steps of control system analysis and design; (2) many actual systems are FAS models, and there is no need to convert the system into a state space model; (3) the anti-windup compensator works only when the actuator saturation occurs to ensure the stability of the control system. In fact, most of the time, the system operates in an unsaturated state, which means that in most cases, the system performance is not affected. A numerical simulation example is given to illustrate the effectiveness of the proposed method.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

Data Availability Statement

Data sharing is not applicable to this article as no data sets were generated or analyzed during the current study.

References

  1. P.D.H. Bui, S.S. You, H.S. Kim, S.D. Lee, Dynamics modeling and motion control for high-speed underwater vehicles using H-infinity synthesis with anti-windup compensator. J. Ocean Eng. Sci. 7(1), 84–91 (2022)

    Article  Google Scholar 

  2. E.B. Castelan, S. Tarbouriech, I. Queinnec, Stability and stabilization of a class of nonlinear systems with saturating actuators. IFAC Proc. Vol. 38(1), 729–734 (2005)

    Article  Google Scholar 

  3. J.M.G. Da Silva, S. Tarbouriech, Anti-windup design with guaranteed regions of stability: An LMI-based approach. IEEE Trans. Autom. Control 50(1), 106–111 (2005)

    Article  Google Scholar 

  4. G. Duan, High-order fully actuated system approaches: Part I. Models and basic procedure. Int. J. Syst. Sci. 52(2), 422–435 (2021)

    Article  ADS  MathSciNet  Google Scholar 

  5. G. Duan, High-order fully actuated system approaches: Part II. Generalized strict-feedback systems. Int. J. Syst. Sci. 52(3), 437–454 (2021)

    Article  ADS  MathSciNet  Google Scholar 

  6. G. Duan, High-order fully actuated system approaches: Part III. Robust control and high-order backstepping. Int. J. Syst. Sci. 52(5), 952–971 (2021)

    Article  ADS  MathSciNet  Google Scholar 

  7. G. Duan, High-order fully actuated system approaches: Part IV. Adaptive control and high-order backstepping. Int. J. Syst. Sci. 52(5), 972–989 (2021)

    Article  ADS  MathSciNet  Google Scholar 

  8. G. Duan, High-order fully actuated system approaches: Part V .Robust adaptive control. Int. J. Syst. Sci. 52(10), 2129–2143 (2021)

    Article  ADS  MathSciNet  Google Scholar 

  9. G. Duan, High-order fully-actuated system approaches: Part VI. Disturbance attenuation and decoupling. Int. J. Syst. Sci. 52(10), 2161–2181 (2021)

    Article  ADS  MathSciNet  Google Scholar 

  10. G. Duan, High-order fully-actuated system approaches: Part VII. Controllability, stabilizability and parametric designs. Int. J. Syst. Sci. 52(14), 3091–3114 (2021)

    Article  ADS  Google Scholar 

  11. G. Duan, High-order fully-actuated system approaches: Part VIII. Optimal control with application in spacecraft attitude stabilization. Int. J. Syst. Sci. 53(1), 54–73 (2022)

    Article  ADS  Google Scholar 

  12. G. Duan, High-order fully-actuated system approaches: Part IX. Generalized PID control and model reference tracking. Int. J. Syst. Sci. 53(3), 652–674 (2022)

    Article  ADS  Google Scholar 

  13. G. Duan, High-order fully-actuated system approaches: Part X. Basics of discrete-time systems. Int. J. Syst. Sci. 53(4), 810–832 (2022)

    Article  ADS  MathSciNet  Google Scholar 

  14. G. Duan, G. Liu, Attitude and orbit optimal control of combined spacecraft via a fully-actuated system approach. J. Syst. Sci. Complex. 35(2), 623–640 (2022)

    Article  MathSciNet  Google Scholar 

  15. T. Hu, Z. Lin, B. Chen, An analysis and design method for linear systems subject to actuator saturation and disturbance. Automatica 38(2), 351–359 (2002)

    Article  Google Scholar 

  16. J. Huang, H.C. Che, T. Raissi, Z.H. Wang, Functional interval observer for discrete-time switched descriptor systems. IEEE Trans. Autom. Control 67(5), 2497–2504 (2022)

    Article  MathSciNet  Google Scholar 

  17. J. Huang, X. Ma, H.C. Che, Z.Z. Han, Further result on interval observer design for discrete-time switched systems and application to circuit systems. IEEE Trans. Circuits Syst.-II: Express Briefs. 67(11), 2542–2546 (2020)

    Article  Google Scholar 

  18. M.V. Kothare, P.J. Campo, M. Morari, C.N. Nett, A unified framework for the study of anti-windup designs. Automatica 30(12), 1869–1883 (1994)

    Article  MathSciNet  Google Scholar 

  19. O. Lamrabet, K. Naamane, E.H. Tissir, F.E. Haoussi, F. Tadeo, An input-output approach to anti-windup design for sampled-data systems with time-varying delay. Circuits Systems Signal Process. 39, 4868–4889 (2020)

    Article  Google Scholar 

  20. Z. Lin, A. Saberi, Semi-global exponential stabilization of linear systems subject to “input saturation’’ via linear feedbacks. Syst. Control Lett. 21(3), 225–239 (1993)

    Article  MathSciNet  Google Scholar 

  21. G. Liu, Coordination of networked nonlinear multi-agents using a high-order fully actuated predictive control strategy. IEEE/CAA J. Automatica Sinica. 9(4), 615–623 (2022)

    Article  MathSciNet  Google Scholar 

  22. J. Moreno-Valenzuela, Constrained trajectory tracking control of a mobile robot by limited integrator anti-windup. IEEE Trans. Circuits Syst.-II: Express Briefs. 69(3), 1422–1426 (2022)

    Article  Google Scholar 

  23. K. Naamane, E.H. Tissir, Robust anti-windup controller design for Takagi-Sugeno fuzzy systems with time-varying delays and actuator saturation. Circuits Syst. Signal Process. 41, 1426–1452 (2022)

    Article  Google Scholar 

  24. S.H. Rouhani, H. Mojallali, A. Baghramian, An optimized fuzzy sliding based active disturbance rejection control for simultaneous cyber-attack tolerant and demand response participation program. Int. Trans. Elect. Energy Syst. 12(31), e13206.1-e13206.29 (2021)

    Google Scholar 

  25. S.H. Rouhani, H. Mojallali, A. Baghramian, Accurate demand response participation in regulating power system frequency by modified active disturbance rejection control. Math. Methods Appl. Sci. 12(45), 7685–7699 (2022)

    Article  MathSciNet  Google Scholar 

  26. H. Sun, L. Huang, L. He, Research on the trajectory tracking control of a 6-DOF manipulator based on fully-actuated system models. J. Syst. Sci. Complexity 35(2), 641–659 (2022)

    Article  MathSciNet  CAS  Google Scholar 

  27. A. Zemouche, M. Boutayeb, On LMI conditions to design observers for Lipschitz nonlinear systems. Automatica 49(2), 585–591 (2013)

    Article  MathSciNet  Google Scholar 

  28. D. Zhang, G. Liu, L. Cao, Proportional integral predictive control of high-order fully actuated networked multiagent systems with communication delays. IEEE Trans. Syst. Man Cyber. Syst. 53(2), 801–812 (2023)

    Article  Google Scholar 

  29. B. Zhou, Q. Wang, Z. Lin, G. Duan, Gain scheduled control of linear systems subject to actuator saturation with application to spacecraft rendezvous. IEEE Trans. Control Syst. Technol. 22(5), 2031–2038 (2014)

    Article  Google Scholar 

Download references

Funding

This work is supported by the Zhejiang Provincial Natural Science Foundation of China [grant number LY22F030002].

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Qian Wang.

Ethics declarations

Conflicts of interest

The authors declare that they have no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, Q., Jiang, Y. Fully Actuated System Approach for Input-saturated Nonlinear System Based on Anti-windup Control. Circuits Syst Signal Process (2024). https://doi.org/10.1007/s00034-024-02623-3

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s00034-024-02623-3

Keywords

Navigation